Presentation 1999/3/4
Displaying Intuitively Correct Space Curves and Surfaces
Yoshiyuki Kanazawa, Kenichi Kanetani,
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Abstract(in English) We present an efficient method for displaying space curves input by the user as equations. The topology (connection) of the curves is correctly displayed in whatever resolution. This is a consequence of detecting all the critical points of the curve and recursively subdividing the domain. Critical points are detected by interval analysis involving interval evaluation, mean-value forms, and Krawczyk forms. Our system does not involve complicated symbolic computation of resolvants or even require the curve to be algebraic. We apply this system to display surfaces by their occluding contours, which is the most natural representation for human visual recognition as compared with wireframe models and their rendering.
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Keyword(in English) user interface / space curve / critical point / interval analysis / surface / occluding contour
Paper # AI98-83
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Conference Information
Committee AI
Conference Date 1999/3/4(1days)
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Registration To Artificial Intelligence and Knowledge-Based Processing (AI)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Displaying Intuitively Correct Space Curves and Surfaces
Sub Title (in English)
Keyword(1) user interface
Keyword(2) space curve
Keyword(3) critical point
Keyword(4) interval analysis
Keyword(5) surface
Keyword(6) occluding contour
1st Author's Name Yoshiyuki Kanazawa
1st Author's Affiliation Department of Computer Science Gunma University()
2nd Author's Name Kenichi Kanetani
2nd Author's Affiliation Department of Computer Science Gunma University
Date 1999/3/4
Paper # AI98-83
Volume (vol) vol.98
Number (no) 634
Page pp.pp.-
#Pages 6
Date of Issue