TY - GEN
T1 - Estimating curvatures and their derivatives on triangle meshes
AU - Rusinkiewicz, Szymon
PY - 2004
Y1 - 2004
N2 - The computation of curvature and other differential properties of surfaces is essential for many techniques in analysis and rendering. We present a finite-differences approach for estimating curvatures on irregular triangle meshes that may be thought of as an extension of a common method for estimating per-vertex normals. The technique is efficient in space and time, and results in significantly fewer outlier estimates while more broadly offering accuracy comparable to existing methods. It generalizes naturally to computing derivatives of curvature and higher-order surface differentials.
AB - The computation of curvature and other differential properties of surfaces is essential for many techniques in analysis and rendering. We present a finite-differences approach for estimating curvatures on irregular triangle meshes that may be thought of as an extension of a common method for estimating per-vertex normals. The technique is efficient in space and time, and results in significantly fewer outlier estimates while more broadly offering accuracy comparable to existing methods. It generalizes naturally to computing derivatives of curvature and higher-order surface differentials.
UR - http://www.scopus.com/inward/record.url?scp=16244389680&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=16244389680&partnerID=8YFLogxK
U2 - 10.1109/TDPVT.2004.1335277
DO - 10.1109/TDPVT.2004.1335277
M3 - Conference contribution
AN - SCOPUS:16244389680
SN - 0769522238
SN - 9780769522234
T3 - Proceedings - 2nd International Symposium on 3D Data Processing, Visualization, and Transmission. 3DPVT 2004
SP - 486
EP - 493
BT - Proceedings - 2nd International Symposium on 3D Data Processing, Visualization, and Transmission, 3DPVT 2004
A2 - Aloimonos, Y.
A2 - Taubin, G.
T2 - Proceedings - 2nd International Symposium on 3D Data Processing, Visualization, and Transmission. 3DPVT 2004
Y2 - 6 September 2004 through 9 September 2004
ER -