About Shape Identification Methods of Objects Invariant to Projective Transformations
نویسندگان
چکیده
منابع مشابه
Shape equivalence under perspective and projective transformations.
When a planar shape is viewed obliquely, it is deformed by a perspective deformation. If the visual system were to pick up geometrical invariants from such projections, these would necessarily be invariant under the wider class of projective transformations. To what extent can the visual system tell the difference between perspective and nonperspective but still projective deformations of shape...
متن کاملProcrustes methods for projective shape
Consider a configuration of k points or landmarks in R, represented as a k × m matrix X0. For many purposes, it is not the configuration of X0 which is of importance but its shape, that is, its equivalence class under an appropriate group of transformations. One important type of shape is projective shape. Let X = [1k, X0] be a k × p matrix, where p = m + 1, containing the landmark positions in...
متن کاملGorenstein projective objects in Abelian categories
Let $mathcal {A}$ be an abelian category with enough projective objects and $mathcal {X}$ be a full subcategory of $mathcal {A}$. We define Gorenstein projective objects with respect to $mathcal {X}$ and $mathcal{Y}_{mathcal{X}}$, respectively, where $mathcal{Y}_{mathcal{X}}$=${ Yin Ch(mathcal {A})| Y$ is acyclic and $Z_{n}Yinmathcal{X}}$. We point out that under certain hypotheses, these two G...
متن کاملShape matching of partially occluded curves invariant under projective transformation
This paper describes a method to identify partially occluded shapes which are randomly oriented in 3D space. The goal is to match the object contour present in an image with an object in a database. The approach followed is the alignment method which has been described in detail in the literature. Using this approach the recognition process is divided into two stages: first, the transformation ...
متن کاملBent out of shape: The visual inference of non-rigid shape transformations applied to objects
In everyday life, we can often identify when an object has been subjected to some kind of transformation that alters its shape. For example, we can usually tell whether a can has been crushed, or a cookie has been bitten. Conversely, our ability to recognize objects is often robust across such shape transformations: we can still identify the can even though it has been dented. This ability to d...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: EPJ Web of Conferences
سال: 2016
ISSN: 2100-014X
DOI: 10.1051/epjconf/201610802024