Modal models: energy-based implicit functions

Stan Sclaroff; Alexander P. Pentland

doi:10.1117/12.131633

1 November 1992 Modal models: energy-based implicit functions

Stan Sclaroff, Alexander P. Pentland

Proceedings Volume 1828, Sensor Fusion V; (1992) https://doi.org/10.1117/12.131633
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

Previously, we have describe modal analysis, an efficient, physically-based solution for recovering, tracking, and recognizing solid models from 2-D and 3-D sensor data. The underlying representation consists of two levels: modal deformations, which describe the overall shape of a solid, and displacement maps, which provide local and fine surface detail. In this paper, we give details about the mathematics behind implicit function and displacement map calculations. In addition, we describe an extension which can be used to incorporate measurement uncertainty in the recovered modal deformation parameters. The result is an energy-based implicit function; as a consequence, collision detection, path planning, dynamic simulation, and model comparisons can frequently be performed in closed-form--even for complex shapes.

Citation Download Citation

Stan Sclaroff and Alexander P. Pentland "Modal models: energy-based implicit functions", Proc. SPIE 1828, Sensor Fusion V, (1 November 1992); https://doi.org/10.1117/12.131633

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available