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The Morphing Space

 
: Alexa, M.; Müller, W.

Skala, V. ; International Federation for Information Processing -IFIP-, Working Group 5.10 Computer Graphics; European Association for Computer Graphics -EUROGRAPHICS-:
WSCG '99. 7. International Conference in Central Europe on Computer Graphics, Visualization and Digital Interactive Media. Conference Proceedings. Vol.2
Plzen: University of West Bohemia, 1999
ISBN: 80-7082-490-5
S.329-336
International Conference in Central Europe on Computer Graphics, Visualization and Digital Interactive Media (WSCG) <7, 1999, Plzen, Czech Republic>
Englisch
Konferenzbeitrag
Fraunhofer IGD ()
analysis; morphing; synthesis; vector space; warping

Abstract
Morphing is a well known technique to generate smooth transitions between two objects. We propose a more general understanding of morphing: First, we use morphing to describe objects as a composite of other objects. Second, we allow this description to incorporate more than two base objects. Given this concept a set of objects produced by morphing among multiple objects forms a mathematical space, which we call morphing space. We present a mathematical framework to discuss the properties of such spaces and their relation to the applied morphing algorithms for synthesizing the elements. We show that not only synthesis of objects but also analysis of objects is possible in a morphing space. Analysis results in the definition of an object in terms of the base objects of which it is comprised. Algorithms are proposed for both the synthesis and the analysis process.

: http://publica.fraunhofer.de/dokumente/PX-25133.html