using the electrostatic capacity of a condenser, the existence of a distance function on a finsler space is discussed. this distance function divides finsler spaces into the two classes, denoted here by i and ii. the topology generated by this distance on the finsler spaces of class ii coincides with its intrinsic topology. this work provides a natural extension of mathematical analysis tools n...

This chapter presents a method for vote-based 3D shape recognition and registration, in particular using mean shift on 3D pose votes in the space of direct similarity transformations for the first time. We introduce a new distance between poses in this space—the SRT distance. It is left-invariant, unlike Euclidean distance, and has a unique, closed-form mean, in contrast to Riemannian distance,...

音色は「ラウドネスとピッチが同じ二つの音 を、等しい条件で提示した際に、違いが聴取さ れるための特質」と定義される [1]。本稿では、 音の知覚において音色の役割を研究する際に重 要である、音色知覚の多次元性について論じる。 3種類の音色推定手法と、音色知覚との関連性 を比較検討した。 研究の動機として以下の二つが挙げられる。 基礎研究としては、人間がどのように音と言語 を知覚するのか理解し、色覚における三刺激値 モデルと同等な音色知覚モデルを作りたい。そ して応用のためには、よりよい音の分析のため に最節約性を満たす基礎的な音色の数値表現を 見つけたい。 この研究では音色の知覚について、これまで の研究とは異なったアプローチをとる。多次元 尺度法を用いた音色の研究 [2, 3, 4]では、まず 刺激音を準備し、知覚的距離を心理測定し、そ れを構成する座標系を見つける。我々の手法で ...

This paper presents a new approach to ranking relevant images for retrieval. Distance in the feature space associated with a kernel is used to rank relevant images. An adaptive quasiconformal mapping based on relevance feedback is used to generate successive new kernels. The effect of the quasiconformal mapping is a change in the spatial resolution of the feature space. The spatial resolution a...

A new approach to off-line signature verification using non parametric Bayesian approach is discussed. Given sample(s) of Genuine signatures of an individual, the task of signature verification is a problem of classifying a questioned(test) signature as Genuine or Forgery(skilled). The verification problem is a two step approach (i)Enrollment: Genuine signature samples of an individual are prov...

In optimal planning as heuristic search, admissible pruning techniques are paramount. One idea is dominance pruning, identifying states “better than” other states. Prior approaches are limited to simple dominance notions, like “more STRIPS facts true” or “higher resource supply”. We apply simulation, well-known in model checking, to compute much more general dominance relations based on compari...

Let us say that space is discrete if and only if every finite extended region of space is composed of finitely many atomic regions of space. I assume here that regions of space are individuals rather than sets of points, and have mereological structure; their parts are all and only their subregions. A region of space is an atomic region if and only if it has no proper parts, i.e., if and only i...

We present a novel method for analysing space-time data when response data is given at a nite number of locations and the aim is to predict the response at a new location, where only a short run of data is available. This is the type of dataset that is typically available when attempting to analyse wind velocity data and we demonstrate our method, and compare it to that introduced by Haslett an...

The notion of a probabilistic metric  space  corresponds to thesituations when we do not know exactly the  distance.  Probabilistic Metric space was  introduced by Karl Menger. Alsina, Schweizer and Sklar gave a general definition of  probabilistic normed space based on the definition of Menger [1]. In this note we study the PN spaces which are  topological vector spaces and the open mapping an...