Shape Intrinsic Properties for Free-Form Object Matching

[+] Author and Article Information
K. H. Ko

Massachusetts Institute of Technology, Cambridge, MA 02139, USAe-mail: khko@mit.edu

T. Maekawa

Yokohama National University, Yokohama, Japane-mail: maekawa@ynu.ac.jp

N. M. Patrikalakis

Massachusetts Institute of Technology, Cambridge, MA 02139, USAe-mail: nmp@mit.edu

H. Masuda

The University of Tokyo, Research into Artifacts, Center for Engineering, Tokyo 157-8904, Japane-mail: masuda@race.u-tokyo.ac.jp

F.-E. Wolter

University of Hannover, Division of Computer Graphics and Geometric Modeling, D-30167 Hannover, Germanye-mail: few@informatik.uni-hannover.de

J. Comput. Inf. Sci. Eng 3(4), 325-333 (Dec 24, 2003) (9 pages) doi:10.1115/1.1633277 History: Received July 01, 2003; Revised October 01, 2003; Online December 24, 2003
Copyright © 2003 by ASME
Topics: Algorithms , Shapes , Solids
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Grahic Jump Location
An example of the adaptive quadtree decomposition. (The marked dark domains indicate those which possibly contain umbilical points.)
Grahic Jump Location
An example of isolated umbilical points on uv domain and the surface
Grahic Jump Location
An example of a line of umbilical points
Grahic Jump Location
Extraction of planar region
Grahic Jump Location
A diagram of the algorithm
Grahic Jump Location
Intersection of lines of curvature
Grahic Jump Location
A diagram for meshing algorithm
Grahic Jump Location
Matching via integral properties
Grahic Jump Location
Comparison of lines of curvatures and umbilical points
Grahic Jump Location
(A) Weak test (ε-offset) and (B) intermediate test (maximum principal curvature)
Grahic Jump Location
A partial matching example of a hood
Grahic Jump Location
(A) ε-offset (B) Maximum principal curvature (C) Minimum principal curvature (D) Principal direction
Grahic Jump Location
Surface rB and its umbilics
Grahic Jump Location
(A) Surface rA and its umbilical point (B) Matched surfaces



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