View-Invariant Surface Structure Descriptors--Toward a Smooth Surface Sketch--

Hiromi T. TANAKA; Daniel T. L. LEE; Yukio KOBAYASHI

View-Invariant Surface Structure Descriptors--Toward a Smooth Surface Sketch--

Hiromi T. TANAKA, Daniel T. L. LEE, Yukio KOBAYASHI

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A framework for the visual representation of three-dimensional free-form curved surfaces based on a special class of surface curves, herein called the surface structure curves, is in progress. By analyzing their properties, we attempt to construct a basis for describing the topographical structures of curved surfaces which give a global description of the surface geometry. Surface structure curves are a set of surface curves defined by using viewpoint-invariant features-surface curvatures (and their gradients and asymptotes) from differential geometry. From these surface structure curves, surface sketches by means of the topographical structure of ridge lines, valley lines and the enclosing boundaries of bumps and dents can be inferred. This paper proposes a view-point invariant representation scheme which provides a smooth surface sketch",--a natural parameterization of free-form curved surfaces. We define three types of surface structure points and five types of surface structure curves in terms of zero-crossings, asymptotes and gradients of the Gaussian and mean curvatures. We discuss their properties and usefulness in edge based segmentation and description of free-form curved surfaces. Some examples of surface sketches using the surface structure curves are shown.

Publication: IEICE TRANSACTIONS on transactions Vol.E73-E No.3 pp.418-427

Publication Date: 1990/03/25

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Type of Manuscript: PAPER

Category: Image Processing, Computer Graphics and Pattern Recognition

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Hiromi T. TANAKA
Daniel T. L. LEE
Yukio KOBAYASHI

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Hiromi T. TANAKA, Daniel T. L. LEE, Yukio KOBAYASHI, "View-Invariant Surface Structure Descriptors--Toward a Smooth Surface Sketch--" in IEICE TRANSACTIONS on transactions, vol. E73-E, no. 3, pp. 418-427, March 1990, doi: .
Abstract: A framework for the visual representation of three-dimensional free-form curved surfaces based on a special class of surface curves, herein called the surface structure curves, is in progress. By analyzing their properties, we attempt to construct a basis for describing the topographical structures of curved surfaces which give a global description of the surface geometry. Surface structure curves are a set of surface curves defined by using viewpoint-invariant features-surface curvatures (and their gradients and asymptotes) from differential geometry. From these surface structure curves, surface sketches by means of the topographical structure of ridge lines, valley lines and the enclosing boundaries of bumps and dents can be inferred. This paper proposes a view-point invariant representation scheme which provides a smooth surface sketch",--a natural parameterization of free-form curved surfaces. We define three types of surface structure points and five types of surface structure curves in terms of zero-crossings, asymptotes and gradients of the Gaussian and mean curvatures. We discuss their properties and usefulness in edge based segmentation and description of free-form curved surfaces. Some examples of surface sketches using the surface structure curves are shown.
URL: https://globals.ieice.org/en_transactions/transactions/10.1587/e73-e_3_418/_p

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@ARTICLE{e73-e_3_418,
author={Hiromi T. TANAKA, Daniel T. L. LEE, Yukio KOBAYASHI, },
journal={IEICE TRANSACTIONS on transactions},
title={View-Invariant Surface Structure Descriptors--Toward a Smooth Surface Sketch--},
year={1990},
volume={E73-E},
number={3},
pages={418-427},
abstract={A framework for the visual representation of three-dimensional free-form curved surfaces based on a special class of surface curves, herein called the surface structure curves, is in progress. By analyzing their properties, we attempt to construct a basis for describing the topographical structures of curved surfaces which give a global description of the surface geometry. Surface structure curves are a set of surface curves defined by using viewpoint-invariant features-surface curvatures (and their gradients and asymptotes) from differential geometry. From these surface structure curves, surface sketches by means of the topographical structure of ridge lines, valley lines and the enclosing boundaries of bumps and dents can be inferred. This paper proposes a view-point invariant representation scheme which provides a smooth surface sketch",--a natural parameterization of free-form curved surfaces. We define three types of surface structure points and five types of surface structure curves in terms of zero-crossings, asymptotes and gradients of the Gaussian and mean curvatures. We discuss their properties and usefulness in edge based segmentation and description of free-form curved surfaces. Some examples of surface sketches using the surface structure curves are shown.},
keywords={},
doi={},
ISSN={},
month={March},}

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TY - JOUR
TI - View-Invariant Surface Structure Descriptors--Toward a Smooth Surface Sketch--
T2 - IEICE TRANSACTIONS on transactions
SP - 418
EP - 427
AU - Hiromi T. TANAKA
AU - Daniel T. L. LEE
AU - Yukio KOBAYASHI
PY - 1990
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E73-E
IS - 3
JA - IEICE TRANSACTIONS on transactions
Y1 - March 1990
AB - A framework for the visual representation of three-dimensional free-form curved surfaces based on a special class of surface curves, herein called the surface structure curves, is in progress. By analyzing their properties, we attempt to construct a basis for describing the topographical structures of curved surfaces which give a global description of the surface geometry. Surface structure curves are a set of surface curves defined by using viewpoint-invariant features-surface curvatures (and their gradients and asymptotes) from differential geometry. From these surface structure curves, surface sketches by means of the topographical structure of ridge lines, valley lines and the enclosing boundaries of bumps and dents can be inferred. This paper proposes a view-point invariant representation scheme which provides a smooth surface sketch",--a natural parameterization of free-form curved surfaces. We define three types of surface structure points and five types of surface structure curves in terms of zero-crossings, asymptotes and gradients of the Gaussian and mean curvatures. We discuss their properties and usefulness in edge based segmentation and description of free-form curved surfaces. Some examples of surface sketches using the surface structure curves are shown.
ER -