# 语料库 OCR 待核对照表 PDF 经 MinerU 转 Markdown 时丢失的符号（U+FFFD）。本表在 `d29389a` 之后 **已逐处对照 `papers/<同名>.pdf` 的原文（含文本层与算法框）核定并回填**。 > 判定原则：宁缺勿错。`�` 是诚实的"此处识别失败"；猜一个错的符号则是静默篡改语料。 > 本次 245 处全部能在 PDF 上唯一确定，**无一处保留 `�`**。 两条需要读者留意的回填说明： 1. **下标写法**：原文写作 N_t / N_V / α_i / t_opt 之处，MinerU 有时把下标写成相邻的 普通字符位，本表按**字面字符**回填（`Nt` / `NV` / `αi` / `opt`），未擅自补 `_` 或 ``。 2. **被读成空格的 glyph**：`md/2024_StopThePop…` 第 148 行，原文 `𝑡opt` 的中间那颗 `p` 被读成了空格（不是 U+FFFD），已一并改回 `p`，此行另在备注列注明。 | 文件 | 行号 | 上下文 | 扫描建议 | 核定后的符号 | 备注 | |---|---|---|---|---|---| | `md/2022_A_Progress_Review_on_Solid_State_LiDAR_and_Nanophotonics.md` | 81 | …rped sinusoidal TX and RX signal. The delay (∆�) is due to the moving of the sensing object.… | | `τ` | | | `md/2022_A_Progress_Review_on_Solid_State_LiDAR_and_Nanophotonics.md` | 112 | …ivates the Pockels cell after a delay time of �. The optical beam from the laser is collimate… | | `τ` | | | `md/2022_InstantNGP.md` | 34 | …>e number of parameters � and the desi… | T | `T` | | | `md/2022_InstantNGP.md` | 60 | …$ as a multiresolution sequence of � ∈ N sine and cosine functions… | | `L` | | | `md/2022_InstantNGP.md` | 119 | … relative position of x within the respective �-th voxel. (4) we concatenate the resu</s… | | `l` | | | `md/2022_InstantNGP.md` | 121 | …h table size � and max. resolu</s… | T | `T` | | | `md/2022_InstantNGP.md` | 126 | …Given a fully connected neural network �(y; Φ), we are interested in an encoding of it… | | `m` | | | `md/2022_InstantNGP.md` | 126 | …sub>ng parameters �. These are <… | T | `θ` | | | `md/2022_InstantNGP.md` | 126 | …sub>arranged into � levels, each… | L | `L` | | | `md/2022_InstantNGP.md` | 126 | …on- taining up to � feature vectors with dimensionality</sub… | F / d | `T` | | | `md/2022_InstantNGP.md` | 136 | …er of levels �, the growth fac</s… | L | `L` | | | `md/2022_InstantNGP.md` | 140 | …⌊x�⌋ and ⌈x�⌉ span a … | | `l` | | | `md/2022_InstantNGP.md` | 140 | …⌊x�⌋ and ⌈x�⌉ span a voxel with $2 ^ { d … | | `l` | | | `md/2022_InstantNGP.md` | 140 | …ize ofat most�. For coarse leve</… | | `T` | | | `md/2022_InstantNGP.md` | 140 | …nse grid requires fewer than � parameters, i.e. $( N _… | T | `T` | | | `md/2022_InstantNGP.md` | 148 | …>y $d - 1$ of the � dimensions must be… | F / d | `d` | | | `md/2022_InstantNGP.md` | 150 | …b>each corner are �-linearly i<s… | | `d` | | | `md/2022_InstantNGP.md` | 152 | …ub>or each of the � levels. The … | L | `L` | | | `md/2022_InstantNGP.md` | 154 | …er values of � result in higher qualit… | | `T` | | | `md/2022_InstantNGP.md` | 154 | … We recommend practitioners to use � to tweak the enco<… | | `T` | | | `md/2022_InstantNGP.md` | 161 | …h table size � which det<su… | T | `T` | | | `md/2022_InstantNGP.md` | 170 | …The hyperparameters � (number of levels) and � (number of feature d… | T | `L` | | | `md/2022_InstantNGP.md` | 170 | …sub>parameters � (number of levels) and � (number of feature dimensions) also trade of … | T | `F` | | | `md/2022_InstantNGP.md` | 170 | …coding parameters � in Figure 5. In this analy</s… | T | `θ` | | | `md/2022_InstantNGP.md` | 172 | …sub>ual integer coordinates ⌊x�⌋ are not considered a collision; a coll… | | `l` | | | `md/2022_InstantNGP.md` | 180 | …s ensures that the encoding enc(x; �), and by the chain rule its compos… | | `θ` | | | `md/2022_InstantNGP.md` | 180 | … rule its composition with the neural network �(enc(x; θ); Φ), are continuous. Without inter<… | | `m` | | | `md/2022_InstantNGP.md` | 180 | …ctions, in which case the gradient ��(enc(x; θ); Φ)/�x, i.e. the surface normal, <s… | | `∂m` | 相邻两个字符位：偏导算子 ∂ 与网络函数名 m | | `md/2022_InstantNGP.md` | 180 | …> in which case the gradient ��(enc(x; θ); Φ)/�x, i.e. the surface normal, would i… | | `∂` | | | `md/2022_InstantNGP.md` | 192 | …ub>ure dimensions � per lookup d… | F / d | `F` | | | `md/2022_InstantNGP.md` | 192 | …and, a large � favors memory coherence… | | `F` | | | `md/2022_InstantNGP.md` | 225 | …b>with a fixed growth factor � = 2. To allow meaningful comp… | | `b` | | | `md/2022_InstantNGP.md` | 239 | …ing application [Müller et al. 2021]. The MLP � enc(�; �); Φ is tasked with predicting phot… | | `m` | | | `md/2022_InstantNGP.md` | 239 | …lication [Müller et al. 2021]. The MLP � enc(�; �); Φ is tasked with predicting photorealis… | | `x` | | | `md/2022_InstantNGP.md` | 239 | …ation [Müller et al. 2021]. The MLP � enc(�; �); Φ is tasked with predicting photorealistic… | | `θ` | | | `md/2022_InstantNGP.md` | 241 | …Multiresolution hash encodin (Ours), � = 15, 133 FPS … | | `T` | | | `md/2022_InstantNGP.md` | 251 | …onal features as auxiliary encoded dimensions � to be concatenated with the encoded position,… | F / d | `ξ` | | | `md/2022_InstantNGP.md` | 308 | …her than reduce (for example, by summing) the � -di-mensional fea<… | | `F` | | | `md/2022_InstantNGP.md` | 308 | …> dimensionality of the encoded result y from �� to � may be too small to enco… | F / d | `LF` | 相邻两个字符位：L 与 F（原文写作 𝐿𝐹） | | `md/2022_InstantNGP.md` | 308 | …nsionality of the encoded result y from �� to � may be too small to enco</sub… | | `F` | | | `md/2022_InstantNGP.md` | 308 | …b>ormation. While � could be increase<… | | `F` | | | `md/2022_InstantNGP.md` | 310 | …utational cost of increasing � could be insignificant. We thus ar… | | `F` | | | `md/2022_InstantNGP.md` | 310 | …tions, concatenation, coupled with � = 2 always yielded b<su… | | `F` | | | `md/2022_InstantNGP.md` | 316 | …he least significant bits of Z� by a space-fillin… | | `d` | | | `md/2022_InstantNGP.md` | 316 | …lly better than setting �1 := 1 as done in</… | | `π` | | | `md/2022_InstantNGP.md` | 452 | …re smoother interpolation than the �-linear interpolation th… | | `d` | | | `md/2022_InstantNGP.md` | 454 | …sub> using a �-quadratic <s… | | `d` | | | `md/2022_InstantNGP.md` | 454 | …ub>dratic or �-cubic int<su… | | `d` | | | `md/2022_InstantNGP.md` | 460 | …to the �-linear int<s… | | `d` | | | `md/2022_InstantNGP.md` | 500 | …o compute) with standard deviation �/1024, where � is the bounding <sub… | | `r` | | | `md/2022_InstantNGP.md` | 500 | …ub>ute) with standard deviation �/1024, where � is the bounding radi<su… | | `r` | | | `md/2022_InstantNGP.md` | 540 | … step size proportional to the distance � along the ray $\Delta t : = t / 2 5 6$ c… | | `t` | | | `md/2022_InstantNGP.md` | 540 | …ar { 2 } 4 } \right]$ , where � is size of th<sub… | | `s` | | | `md/2022_InstantNGP.md` | 540 | …s exponential growth in �, which means that the comp</s… | | `t` | | | `md/2022_InstantNGP.md` | 548 | …}$ with a constant number of levels (variable � as in Equation (3)) or log</s… | L | `L` | | | `md/2022_InstantNGP.md` | 548 | …rithmically many levels � (constant �).… | L | `L` | | | `md/2022_InstantNGP.md` | 548 | …ub>y many levels � (constant �).… | L | `b` | | | `md/2022_InstantNGP.md` | 552 | …/sub>ace, we maintain a cascade of � multiscale occupancy gr… | | `K` | | | `md/2022_InstantNGP.md` | 552 | … occupancy grids, where � = 1 for all synthetic NeRF scenes … | | `K` | | | `md/2022_InstantNGP.md` | 556 | …sub>ch one of the � grids is quer</sub… | | `K` | | | `md/2022_InstantNGP.md` | 556 | …>e sample position x and the step size Δ�: among the grids covering x, the finest one w… | | `t` | | | `md/2022_InstantNGP.md` | 556 | …ide-length larger than Δ� is queried.… | | `t` | | | `md/2022_InstantNGP.md` | 564 | …(2) randomly sample � candidate cells, and set their value to the <… | | `M` | | | `md/2022_InstantNGP.md` | 568 | …>tegy of the � candidate <s… | | `M` | | | `md/2023_3DGS.md` | 108 | …ats allowing fast �-blending for… | α | `α` | | | `md/2023_3DGS.md` | 110 | …01a] centered at point (mean) �:… | | `μ` | | | `md/2023_3DGS.md` | 118 | …ub>formation � the covarian… | | `W` | | | `md/2023_3DGS.md` | 142 | …>o positions �, �, and cova… | | `p` | | | `md/2023_3DGS.md` | 142 | …positions �, �, and covaria… | | `α` | | | `md/2023_3DGS.md` | 142 | …ents representing color � of each Gaussian to correctly ca<s… | C / c | `c` | | | `md/2023_3DGS.md` | 156 | …ub>ction for � to cons</sub… | | `α` | | | `md/2023_3DGS.md` | 180 | …sub> is to set the � value close t<sub… | | `α` | | | `md/2023_3DGS.md` | 180 | …ub>n increases the � for the Gaus… | | `α` | | | `md/2023_3DGS.md` | 180 | …ub> Gaussians with � less than $\epsil… | | `α` | | | `md/2023_3DGS.md` | 187 | …b>llow approximate �-blending – including</s… | α | `α` | | | `md/2023_3DGS.md` | 189 | …pixel that hindered previous �-blending solutions [Kop… | α | `α` | | | `md/2023_3DGS.md` | 197 | …each point’s � in our back-… | | `α` | | | `md/2023_3DGS.md` | 454 | …ation matrix �:… | | `R` | | | `md/2023_3DGS.md` | 460 | …omponents of �:… | | `q` | | | `md/2023_3DGS.md` | 473 | …�, ℎ: width an… | | `w` | | | `md/2023_3DGS.md` | 474 | …� ← SfM Points ⊲ Positi<s… | | `M` | | | `md/2023_3DGS.md` | 475 | …�, �, � ← InitAttributes() ⊲ Co… | | `S` | | | `md/2023_3DGS.md` | 475 | …�, �, � ← InitAttributes() ⊲ Cova<… | | `C` | | | `md/2023_3DGS.md` | 475 | …�, �, � ← InitAttributes() ⊲ Cova</su… | | `A` | | | `md/2023_3DGS.md` | 476 | …� ← 0 ⊲ Iterat… | | `i` | | | `md/2023_3DGS.md` | 478 | …�, ˆ� ← SampleTrainin<sub… | | `V` | | | `md/2023_3DGS.md` | 478 | …�, ˆ� ← SampleTrainingView() … | | `I` | | | `md/2023_3DGS.md` | 478 | …TrainingView() ⊲ Camera � and Image … | | `V` | | | `md/2023_3DGS.md` | 479 | …� ← Rasterize(�, �, �, �, �) ⊲ Al<su… | | `I` | | | `md/2023_3DGS.md` | 479 | …� ← Rasterize(�, �, �, �, �) ⊲ Alg. 2 … | | `M` | | | `md/2023_3DGS.md` | 479 | …� ← Rasterize(�, �, �, �, �) ⊲ Alg. 2 … | | `S` | | | `md/2023_3DGS.md` | 479 | …� ← Rasterize(�, �, �, �, �) ⊲ Alg. 2 … | | `C` | | | `md/2023_3DGS.md` | 479 | …� ← Rasterize(�, �, �, �, �) ⊲ Alg. 2 … | | `A` | | | `md/2023_3DGS.md` | 479 | …� ← Rasterize(�, �, �, �, �) ⊲ Alg. 2 … | | `V` | | | `md/2023_3DGS.md` | 480 | …� ← ���� (�, ˆ�) ⊲ L… | | `L` | | | `md/2023_3DGS.md` | 480 | …� ← ���� (�, ˆ�) ⊲ Loss</su… | | `Loss` | 相邻四个字符位，组成函数名 Loss | | `md/2023_3DGS.md` | 480 | …� ← ���� (�, ˆ�) ⊲ Loss … | | `I` | | | `md/2023_3DGS.md` | 480 | …� ← ���� (�, ˆ�) ⊲ Loss … | | `I` | | | `md/2023_3DGS.md` | 481 | …�, �, �, � ← Adam(∇�) ⊲ Backpro… | | `M` | | | `md/2023_3DGS.md` | 481 | …�, �, �, � ← Adam(∇�) ⊲ Backprop</… | | `S` | | | `md/2023_3DGS.md` | 481 | …�, �, �, � ← Adam(∇�) ⊲ Backprop</sub… | | `C` | | | `md/2023_3DGS.md` | 481 | …�, �, �, � ← Adam(∇�) ⊲ Backprop &… | | `A` | | | `md/2023_3DGS.md` | 481 | …�, �, �, � ← Adam(∇�) ⊲ Backprop & Step… | | `L` | | | `md/2023_3DGS.md` | 482 | …if IsRefinementIteration(�) then … | | `i` | | | `md/2023_3DGS.md` | 483 | …for all Gaussians (�, Σ, �, �) in (�, �, �, �) do … | | `μ` | | | `md/2023_3DGS.md` | 483 | …for all Gaussians (�, Σ, �, �) in (�, �, �, �) do … | | `c` | | | `md/2023_3DGS.md` | 483 | …for all Gaussians (�, Σ, �, �) in (�, �, �, �) do … | | `α` | | | `md/2023_3DGS.md` | 483 | …for all Gaussians (�, Σ, �, �) in (�, �, �, �) do … | | `M` | | | `md/2023_3DGS.md` | 483 | …for all Gaussians (�, Σ, �, �) in (�, �, �, �) do … | | `S` | | | `md/2023_3DGS.md` | 483 | …for all Gaussians (�, Σ, �, �) in (�, �, �, �) do … | | `C` | | | `md/2023_3DGS.md` | 483 | …for all Gaussians (�, Σ, �, �) in (�, �, �, �) do … | | `A` | | | `md/2023_3DGS.md` | 484 | …if � ⊲ Pr<… | | `α` | | | `md/2023_3DGS.md` | 484 | …if � ⊲ Pr… | | `ε` | | | `md/2023_3DGS.md` | 484 | …if � ⊲ Pruning… | | `μ` | | | `md/2023_3DGS.md` | 488 | …if ∥� ∥ $> \tau _ { S }$ then ⊲ Ove… | | `S` | | | `md/2023_3DGS.md` | 489 | …SplitGaussian(�, Σ, �, �) … | g / i / N | `μ` | | | `md/2023_3DGS.md` | 489 | …SplitGaussian(�, Σ, �, �) … | g / i / N | `c` | | | `md/2023_3DGS.md` | 489 | …SplitGaussian(�, Σ, �, �) … | g / i / N | `α` | | | `md/2023_3DGS.md` | 491 | …CloneGaussian(�, Σ, �, �) … | g / i / N | `μ` | | | `md/2023_3DGS.md` | 491 | …CloneGaussian(�, Σ, �, �) … | g / i / N | `c` | | | `md/2023_3DGS.md` | 491 | …CloneGaussian(�, Σ, �, �) … | g / i / N | `α` | | | `md/2023_3DGS.md` | 496 | …� ← � + 1 … | | `i` | | | `md/2023_3DGS.md` | 496 | …� ← � + 1 … | | `i` | | | `md/2023_3DGS.md` | 505 | …�, ℎ: width and h<s… | | `w` | | | `md/2023_3DGS.md` | 506 | …�, �: Gaussian… | g / i / N | `M` | | | `md/2023_3DGS.md` | 506 | …�, �: Gaussian mea</sub… | g / i / N | `S` | | | `md/2023_3DGS.md` | 507 | …�, �: Gaussian… | g / i / N | `C` | | | `md/2023_3DGS.md` | 507 | …�, �: Gaussian co… | g / i / N | `A` | | | `md/2023_3DGS.md` | 508 | …�: view configuration of current cam… | v / V | `V` | | | `md/2023_3DGS.md` | 509 | …function Rasterize(�, ℎ, �, �, �, �, �)… | | `w` | | | `md/2023_3DGS.md` | 509 | …function Rasterize(�, ℎ, �, �, �, �, �)… | | `M` | | | `md/2023_3DGS.md` | 509 | …function Rasterize(�, ℎ, �, �, �, �, �)… | | `S` | | | `md/2023_3DGS.md` | 509 | …function Rasterize(�, ℎ, �, �, �, �, �)… | | `C` | | | `md/2023_3DGS.md` | 509 | …function Rasterize(�, ℎ, �, �, �, �, �)… | | `A` | | | `md/2023_3DGS.md` | 509 | …function Rasterize(�, ℎ, �, �, �, �, �)… | | `V` | | | `md/2023_3DGS.md` | 510 | …CullGaussian(�, �) ⊲ Frustu… | g / i / N | `p` | | | `md/2023_3DGS.md` | 510 | …CullGaussian(�, �) ⊲ Frustum C… | g / i / N | `V` | | | `md/2023_3DGS.md` | 511 | …�′, �′ ← Screensp</s… | | `M` | | | `md/2023_3DGS.md` | 511 | …�′, �′ ← ScreenspaceGaussians… | | `S` | | | `md/2023_3DGS.md` | 511 | …sup>′ ← ScreenspaceGaussians(�, �, � ) ⊲ Transfor… | | `M` | | | `md/2023_3DGS.md` | 511 | …>′ ← ScreenspaceGaussians(�, �, � ) ⊲ Transform</… | | `S` | | | `md/2023_3DGS.md` | 511 | …/sup> ← ScreenspaceGaussians(�, �, � ) ⊲ Transform</sub… | | `V` | | | `md/2023_3DGS.md` | 512 | …� ← CreateTiles(�, ℎ)… | | `T` | | | `md/2023_3DGS.md` | 512 | …� ← CreateTiles(�, ℎ)… | | `w` | | | `md/2023_3DGS.md` | 513 | …�, � ← DuplicateWithKeys(… | | `L` | | | `md/2023_3DGS.md` | 513 | …�, � ← DuplicateWithKeys(�<s… | | `K` | | | `md/2023_3DGS.md` | 513 | …, � ← DuplicateWithKeys(�′, �) ⊲ Indices and Ke<s… | | `M` | | | `md/2023_3DGS.md` | 513 | …/sub>licateWithKeys(�′, �) ⊲ Indices and Keys… | | `T` | | | `md/2023_3DGS.md` | 514 | …SortByKeys(�, �) ⊲ Global… | | `K` | | | `md/2023_3DGS.md` | 514 | …SortByKeys(�, �) ⊲ Globall<s… | | `L` | | | `md/2023_3DGS.md` | 515 | …� ← IdentifyTileRanges(� … | | `R` | | | `md/2023_3DGS.md` | 515 | …� ← IdentifyTileRanges(� , �)… | | `T` | | | `md/2023_3DGS.md` | 515 | … IdentifyTileRanges(� , �)… | | `K` | | | `md/2023_3DGS.md` | 516 | …� ← 0 ⊲ Init Canvas<… | | `I` | | | `md/2023_3DGS.md` | 517 | …for all Tiles � in � do… | | `t` | | | `md/2023_3DGS.md` | 517 | …for all Tiles � in � do… | | `I` | | | `md/2023_3DGS.md` | 518 | …for all Pixels � in � do… | | `i` | | | `md/2023_3DGS.md` | 518 | …for all Pixels � in � do… | | `t` | | | `md/2023_3DGS.md` | 519 | …� ← GetTileRange(�, �)… | | `r` | | | `md/2023_3DGS.md` | 519 | …� ← GetTileRange(�, �)… | | `R` | | | `md/2023_3DGS.md` | 519 | …� ← GetTileRange(�, �)… | | `t` | | | `md/2023_3DGS.md` | 520 | …�[�] ← BlendInOrder(�, �, �, �, �′, … | α | `I` | | | `md/2023_3DGS.md` | 520 | …�[�] ← BlendInOrder(�, �, �, �, �′, �<… | α | `i` | | | `md/2023_3DGS.md` | 520 | …�[�] ← BlendInOrder(�, �, �, �, �′, �′, �, �)… | α | `i` | | | `md/2023_3DGS.md` | 520 | …�[�] ← BlendInOrder(�, �, �, �, �′, �′, �, �)… | α | `L` | | | `md/2023_3DGS.md` | 520 | …�[�] ← BlendInOrder(�, �, �, �, �′, �′, �, �)… | α | `r` | | | `md/2023_3DGS.md` | 520 | …�[�] ← BlendInOrder(�, �, �, �, �′, �′, �, �)… | α | `K` | | | `md/2023_3DGS.md` | 520 | …�[�] ← BlendInOrder(�, �, �, �, �′, �′, �, �)… | α | `M` | | | `md/2023_3DGS.md` | 520 | …[�] ← BlendInOrder(�, �, �, �, �′, �′, �, �)… | α | `S` | | | `md/2023_3DGS.md` | 520 | …der(�, �, �, �, �′, �′, �, �)… | | `C` | | | `md/2023_3DGS.md` | 520 | …(�, �, �, �, �′, �′, �, �)… | | `A` | | | `md/2023_3DGS.md` | 523 | …return �… | | `I` | | | `md/2023_3DGS.md` | 527 | …pass by each Gaussian’s �. Implemented naïvely,</… | g / i / N | `α` | | | `md/2023_3DGS.md` | 527 | …b>ng updates with � < � (we choose � as $\textstyle { \frac { 1 }… | | `α` | | | `md/2023_3DGS.md` | 527 | … updates with � < � (we choose � as $\textstyle { \frac { 1 } { 2… | | `ε` | | | `md/2023_3DGS.md` | 527 | …b>ates with � < � (we choose � as $\textstyle { \frac { 1 } { 2 5 5 } } )$ <… | | `ε` | | | `md/2023_3DGS.md` | 527 | …d also clamp � with 0.99 from ab… | | `α` | | | `md/2024_Reducing_the_Memory_Footprint_of_3D_Gaussian_Splatting.md` | 84 | …t. For a given view v, the pixel footprint at � identifies the world-space extent of a pixel … | v / V | `g` | | | `md/2024_Reducing_the_Memory_Footprint_of_3D_Gaussian_Splatting.md` | 89 | …ixel footprint $a _ { \mathrm { m i n } }$ at �, which yields a spatial extent proportional t… | | `g` | | | `md/2024_Reducing_the_Memory_Footprint_of_3D_Gaussian_Splatting.md` | 137 | …e required memory for these attributes from 56� × 4 bytes to $5 6 N + 2 0 \times 2 5 6 \times… | | `N` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 74 | …�(r) is the output color for a given ray r, � (… | C / c | `c` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 74 | …�(r) is the output color for a given ray r, � (r, �) is the opacity along the ray and � (r,… | α | `σ` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 74 | … is the output color for a given ray r, � (r, �) is the opacity along the ray and � (r, �) is… | α | `t` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 74 | … r, � (r, �) is the opacity along the ray and � (r, �) is the view-dependent emitted radiance… | α | `c` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 74 | …(r, �) is the opacity along the ray and � (r, �) is the view-dependent emitted radiance. 3DGS… | α | `t` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 80 | …� is the Gaussian’s location, � is a rotation m… | g / i / N | `μ` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 80 | …� is the Gaussian’s location, � is a rotation matrix and � is a diagonal scal… | g / i / N | `R` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 80 | …ussian’s location, � is a rotation matrix and � is a diagonal scaling matrix, allowing to pos… | | `S` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 98 | …where � iterates over the $N _ { \mathbf { r } }$ Gau… | | `i` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 98 | …ce the ray in the ordering of $t _ i , $ and �� is the opacity of the Gaussian along the ray,… | α | `αi` | 相邻两个字符位：α 与下标 i（原文 𝛼𝑖） | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 100 | … }$ is independent of r, a global sort of all � is possible. Naïvely, this would lead to $N _… | | `t` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 127 | …iewspace z-coordinate of each Gaussian’s mean �, see Eqn. (2). This leads to a consistent sor… | g / i / N | `μ` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 148 | …ditionally, see Fig. 3. Therefore, we compute �� � on a per-ray basis.… | | `t` | 原文为 𝑡opt；其中 `p` 那一颗 glyph 被 MinerU 读成了空格（不是 U+FFFD），本次一并改回 `p` | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 148 | …ally, see Fig. 3. Therefore, we compute �� � on a per-ray basis.… | | `o` | 原文为 𝑡opt；其中 `p` 那一颗 glyph 被 MinerU 读成了空格（不是 U+FFFD），本次一并改回 `p` | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 148 | …ly, see Fig. 3. Therefore, we compute �� � on a per-ray basis.… | | `t` | 原文为 𝑡opt；其中 `p` 那一颗 glyph 被 MinerU 读成了空格（不是 U+FFFD），本次一并改回 `p` | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 167 | …ut of order, we accumulate their diference in ����. We present a visual example in… | | `t` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 167 | …order, we accumulate their diference in ����. We present a visual example in Fig. 4,… | | `opt` | 原文 𝑡opt，下标 opt 按字面回填 | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 167 | …le in Fig. 4, with corresponding runtimes and � in Tab. 1 — evidently, even though � decrease… | | `δ` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 167 | …imes and � in Tab. 1 — evidently, even though � decreases with a larger resorting window, the… | | `δ` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 194 | …ow \hat { \mathbf { x } } = \mu _ { 2 }$ . If �2 ∉ �, then xˆ must lie on one of t… | | `μ` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 194 | …f { x } } = \mu _ { 2 }$ . If �2 ∉ �, then xˆ must lie on one of the two tile edge… | | `X` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 198 | …X } G _ { 2 } ( { \bf x } ) t _ { o p t }$ (x)�x is a better estimate. Yet, even a numerical … | | `d` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 210 | …the 2×2 tile. We evaluate $t _ { o p t }$ and � for the respective rays and insert the newly … | | `α` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 228 | …is the accumulated output color including the �-th Gaussian in front-to-back order. As we per… | C / c | `i` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 245 | … frame $\mathbf { F } _ { i + t }$ with ofset � using optical flow predictions from state-of-… | | `t` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 268 | …on $( \phi ( \mu ; { \bf o } , { \bf d } ) =$ ���� , cf. Eqn. (4)).… | | `t` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 268 | …\phi ( \mu ; { \bf o } , { \bf d } ) =$ ���� , cf. Eqn. (4)).… | | `opt` | 原文 𝑡opt，下标 opt 按字面回填 | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 296 | … despite their comparable number of Gaussians �. Even though the Train scene contains slightl… | | `N` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 310 | …isible (in view-frustum) number of Gaussians (� vs. ��), as well as standard deviation and av… | v / V | `N` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 310 | … (in view-frustum) number of Gaussians (� vs. ��), as well as standard deviation and average n… | v / V | `NV` | 相邻两个字符位：N 与下标 V（原文 𝑁𝑉） | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 310 | …16×16 tiles covered by each visible Gaussian (��). We additionally include an appr… | g / i / N | `N` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 310 | …tiles covered by each visible Gaussian (��). We additionally include an approximat… | g / i / N | `t` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 310 | …lude an approximate number of sort entries as �� · avg(�� ).… | | `NV` | 相邻两个字符位：N 与下标 V（原文 𝑁𝑉） | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 310 | …pproximate number of sort entries as �� · avg(�� ).… | | `N` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 310 | …mate number of sort entries as �� · avg(�� ).… | | `t` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 313 | …culling results in a larger reduction of avg. �� for Train than Bonsai (∼3.5× vs. … | | `N` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 313 | …g results in a larger reduction of avg. �� for Train than Bonsai (∼3.5× vs. ∼2.5×)… | | `t` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 455 | … on one of these two edges. The fact that the � coordinate of $\mathbf { d } _ { x }$ and the… | | `y` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 455 | …coordinate of $\mathbf { d } _ { x }$ and the � coordinate of ${ \bf d } _ { y }$ are zero, a… | | `x` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 459 | …�min, �max, �min<su… | | `x` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 459 | …�min, �max, �min, $y _ { … | | `x` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 459 | …�min, �max, �min, $y _ { \mathrm { { m a x } } }… | | `y` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 471 | …if $\mu _ { 2 } { \bf \Phi } _ { y } $ �max the… | | `y` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 471 | …\Phi } _ { y } $ �max then … | | `y` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 487 | …ma } } ^ { - 1 }$ relying on the specifics of � and �, and precompute $\Sigma ^ { - 1 } ( \bo… | | `R` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 487 | … ^ { - 1 }$ relying on the specifics of � and �, and precompute $\Sigma ^ { - 1 } ( \boldsymb… | | `S` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 503 | …y error grows almost linearly with increasing �. Further, our method outperforms 3DGS for all… | | `t` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 505 | …Table 8. FLIPt comparison for � ∈ {1, 3, 5, 7, 9} for three camera paths for … | | `t` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 505 | …be seen, our method outperforms 3DGS for each �, and FLIPt scales almost linearly … | | `t` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 505 | … scales almost linearly with increasing �.… | | `t` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 523 | …as equal. We mapped those answers onto scores �:… | | `s` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 560 | …nd, therefore, has a significantly lower avg. �� for our method (2.7 vs. 2.41) com… | | `N` | | | `md/2024_StopThePop__Sorted_Gaussian_Splatting_for_View-Consisten.md` | 560 | …erefore, has a significantly lower avg. �� for our method (2.7 vs. 2.41) compared … | | `t` | | 合计 **245** 处，全部已核定并回填。