Topic
Development (differential geometry)
About: Development (differential geometry) is a research topic. Over the lifetime, 304 publications have been published within this topic receiving 2918 citations.
Papers published on a yearly basis
1 / 2
Papers
Book•
1 Apr 1991
TL;DR: 1. Frameworks for Surface Modeling and Machining, 2. Basic Differential Geometry and Coordinate Transformation, and Polynomial Curve Models.
Abstract: 1. Frameworks for Surface Modeling and Machining. 2. Basic Differential Geometry and Coordinate Transformation. 3. Polynomial Curve Models. 4. Composite Curve Fitting and 2D Curve Modeling. 5. Surface Patch Models. 6. Properties of Bezier Curves and Surfaces. 7. Surface Construction from 3D Data Array. 8. Surface Construction from Scattered 3D Data. 9. Surface Construction from 2D Cross Sections. 10. Surface Construction from 3D Curve-Nets. 11. Construction of Blending Surfaces. 12. Surface Intersection and Trimmed Surface. 13. Nonparametric Surface Modeling. 14. Development and Use of CAM Systems. 15. Unified Shape Modeling for CIM. Appendix A: Tridiagonal Matrix Solution. References. Index.
211 citations
25 Mar 1985
TL;DR: This paper reports progress toward the development of a representation of significant surface changes in dense depth maps by analogy with representations of intensity changes, image structure, and changes in curvature of planar curves.
Abstract: This paper reports progress toward the development of a representation of significant surface changes in dense depth maps. We call tile representation the Surface Primal Sketch by analogy with representations of intensity changes, image structure, and changes in curvature of planar curves. We describe an implemented program that detects, localizes, and symbolically describes: steps, where the surface height function is discontinuous, and roofs, where the surface is continuous but the surface normal is discontinuous. We illustrate the performance of the program on range maps of objects of varying complexity.
143 citations
Book•
31 Aug 2010
TL;DR: Non Euclidean Geometry as discussed by the authors is a critical and historical study of non-Euclidean geometries, which is a generalization of the notion of Euclideans.
Abstract: Non Euclidean Geometry A Critical And Historical Study Of ... Differences Between Euclidean & NonEuclidean Geometry ... Introduction to Non-Euclidean Geometry EscherMath Non-Euclidean geometry; a critical and historical study of ... The Ontology and Cosmology of Non-Euclidean Geometry Non-Euclidean geometry Wikipedia Chapter 3 NON-EUCLIDEAN GEOMETRIES NonEuclidean geometry; a critical and historical study of ... Into the Wild: Machine Learning In NonEuclidean Spaces ... Non-Euclidean geometry : a critical and historical study ... non-Euclidean geometry | Definition & Types | Britannica Amazon.com: Customer reviews: Non-Euclidean Geometry: A ... Non Euclidean Geometry A Critical And Historical Study Of ... Non-Euclidean geometry MacTutor History of Mathematics Non Euclidean Geometry A Critical Amazon.com: Customer reviews: Non-euclidean Geometry: A ... Non-Euclidean Geometries Free Books at EBD Nikolai Lobachevsky Wikipedia Ranum : Review: R. Bonola, Non-Euclidean Geometry. A ... Non-Euclidean geometry a critical and historical study of ...
123 citations
TL;DR: In this article, the authors extended the previous work of Abbo and Sloan (1995) through the introduction of C2 continuous rounding of the Mohr-Coulomb yield surface in the octahedral plane.
94 citations
TL;DR: In this article, an analytical treatment of the development of a general contour under ion bombardment is proposed, which relates the properties of the eroded material through its yield variation upon the angle of incidence,S (θ).
Abstract: An analytical treatment of the development of a general contour under ion bombardment is proposed. The derived equations relate the properties of the eroded material through its yield variation upon the angle of incidence,S (θ). New specific angles (θs
1 andθs
2) are introduced which limit regions where the evolution process of the surface may be different. The theory allows prediction of the number of angular points which will appear in each region. A computer simulation program is used to describe the evolution of sine-type surfaces. With infinite time, such profiles in relief above a horizontal plane, tend towards the steady state which exists in a horizontal plane. The model is compared to one previously described.
92 citations
Performance Metrics
| Year | Papers |
|---|---|
| 2022 | 1 |
| 2021 | 17 |
| 2020 | 9 |
| 2019 | 9 |
| 2018 | 10 |
| 2017 | 16 |