Poisson Surface Reconstruction
2006 · paper · Computer science
Casts surface reconstruction from oriented points as a spatial Poisson problem, solved globally rather than by local partitioning and blending. The adaptive multiscale algorithm scales with model size and, on public scan data, reconstructs surfaces with greater detail than before.
Checked: PDF from hhoppe.com, fetched 4 Oct 2026. Page numbers are those of that PDF.
1 finding
Substance In Section 4.5 both density-weighted definitions of the vector field, V(q) ≡ Σ_s 1/W_D̂(s.p) Σ_{o∈Ngbr} α_{o,s}F_o(q), omit the factor s.N that appears in Equation 3, so as printed the right-hand side is a scalar.
- p. 6 Section 4.5, 'Computing the vector field', first equation
we modify the summation in Equation 3 so that each sam-
- p. 6 Section 4.5, second definition of V(q) (adaptive width)
Using the fact that node functions at smaller depths corre-
Judge's note: On page 4, Equation 3 reads V(q) ≡ Σ_s Σ_{o∈Ngbr_D(s)} α_{o,s}F_o(q) s.N. On page 6, the text says Equation 3 is modified only by adding the 1/W weight, and later by adapting the depth. Both printed formulas (crops C005-a and C005-b) end in α_{o,s}F_o(q) with no s.N, while the left-hand side is the vector V(q). The intended fix, restoring s.N, is evident from Equation 3.
Second check: another model agreed
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7 minor (typos and the like; most checked by the judge only)
Wording Section 5.3 says "the running time, the memory overhead, and the number of output triangles increases roughly by a factor of four" per depth level, but Table 1 Peak Memory goes from 75 (depth 8) to 155 (depth 9), about ×2.1.
- p. 8 Section 5.3 text
ory overhead, and the number of output triangles increases
- p. 8 Table 1, Peak Memory column, depths 8 and 9
155
- p. 8 Section 5.3, text
the running time, the mem-ory overhead, and the number of output triangles increases roughly by a factor of four
Only the authors can say what is right here.
Judge's note: I checked Table 1 on the page 8 image: Peak Memory is 19, 75, 155 and 699. The memory steps are ×3.95, ×2.07 and ×4.51. The time and triangle steps all fall between about 4 and 5. The 8→9 memory step does not fit the stated factor. Only the authors can say whether 155 is a misprint or the claim is loose.
Second check: another model agreed
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Typo Stray article in Section 2: "a triangle mesh that interpolates all or a most of the points" should read "all or most of the points".
- p. 2 Section 2, Surface reconstruction paragraph
triangle mesh that interpolates all or a most of the points.
- p. 2 Section 2, Surface reconstruction, para 2
interpolates all or a most of the points
Judge's note: The page 2 crop shows "interpolates all or a most of the points." as printed in the left column. The 'a' is extraneous.
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Typo "The Poisson equation arises in numerous applications areas" should read "application areas".
- p. 2 Section 2, Poisson problems paragraph
ous applications areas.
- p. 2 Section 2, Poisson problems
ous applications areas
Judge's note: The page 2 crop shows "numer-ous applications areas." in the Poisson problems paragraph. This is a minor grammatical slip.
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Typo Unmatched closing parenthesis: "al-pha shapes [EM94, BBX95, BMR∗99]), or Voronoi diagrams". The earlier "(e.g. [Boi84, KSO04])" is already closed.
- p. 2 Section 2, combinatorial structures paragraph
pha shapes [EM94, BBX95, BMR∗99]), or Voronoi dia-
- p. 2 Section 2, Surface reconstruction, para 2
pha shapes [EM94, BBX95, BMR∗99]), or Voronoi
Judge's note: The page 2 crop confirms "BMR*99])," with no open parenthesis before it. The preceding parenthetical "(e.g. [Boi84, KSO04])" closes before "al-pha".
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Typo "the parameter D̂ provides away for specifying the locality" should read "provides a way for".
- p. 6 Section 4.5, first paragraph on page
parameter ˆD provides away for specifying the locality of the
- p. 6 Estimating local sampling density
provides away for specifying the locality
Judge's note: The page 6 crop shows "provides away for" mid-line, with no line break, so this is not an extraction artefact.
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Typo Reference [FLW02] prints the author as "LISCHINKSI D."; the expected spelling is Lischinski.
- p. 10 Reference [FLW02]
LISCHINKSI D.
Only the authors can say what is right here.
Judge's note: Rests on outside knowledge: the co-author's name is spelled Lischinski. The page 10 crop shows "LISCHINKSI D." in small caps as printed.
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Typo Reference [CBC*01] prints "mitchel T." in lower case, unlike the small-caps surnames beside it, and apparently misspelled (Mitchell).
- p. 10 Reference list, [CBC*01]
MITCHEL T.
Only the authors can say what is right here.
Judge's note: Rests on outside knowledge: the co-author's surname is spelled Mitchell. The page 10 crop shows lower-case "mitchel T." among capitalised small-caps names, so the typesetting inconsistency is visible in the file.
Second check: none (judge only)