By the example of the sine-Gordon equation, we develop a technique for obtaining soliton solutions. This procedure is not connected with a concrete matrix realization of the Lax pair operators but it directly appeals to the properties of internal symmetry spectrum of the corresponding equations.
The internal representation of solid shape with respect to vision
β Scribed by J. J. Koenderink; A. J. Doorn
- Publisher
- Springer-Verlag
- Year
- 1979
- Tongue
- English
- Weight
- 575 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0340-1200
No coin nor oath required. For personal study only.
β¦ Synopsis
It is argued that the internal model of any object must take the form of a function, such that for any intended action the resulting reafference is predictable. This function can be derived explicitly for the case of visual perception of rigid bodies by ambulant observers. The function depends on physical causation, not physiology; consequently, one can make a priori statements about possible internal models. A posteriori it seems likely that the orientation sensitive units described by Hubel and Wiesel constitute a physiological substrate subserving the extraction of the invariants of this function. The function is used to define a measure for the visual complexity of solid shape. Relations with Gestalt theories of perception are discussed.
π SIMILAR VOLUMES
## Recently Nishioka and Atluri have derived the path-independent J' integral which gives the energy release rate for an elastodynamically propagating crack. The J' integral is now well understood as the elastodynamic J integral. They have also shown the existence of many types of path-independent