The Experts below are selected from a list of 99 Experts worldwide ranked by ideXlab platform

Xu Gusheng - One of the best experts on this subject based on the ideXlab platform.

  • IGARSS - A new least squares method based line generalization in GIS
    IEEE International IEEE International IEEE International Geoscience and Remote Sensing Symposium 2004. IGARSS '04. Proceedings. 2004, 2004
    Co-Authors: Tong Xiaohua, Xu Gusheng
    Abstract:

    The generalization of line features is an important process in both traditional cartography and in many applications of geographic information systems. In this paper, the parcel boundary line generalization is further studied. The uncertainties in Douglas-Peucker based line generalization algorithm is first analyzed, a line-fitting based line generalization algorithm is then proposed. In the new line generalization method, kinds of Conditional Equations in map generalization are therefore derived, including the length Conditional Equation, area Conditional Equation, and end-vertexes identical Equation. Based on the theoretical discussion, a parcel boundary line generalization system is developed. The case studies are carried out to test the methods. The results show that the proposed uncertainty-processing model is feasible to ensure the data quality in map generalization

  • A new least squares method based line generalization in GIS
    IGARSS 2004. 2004 IEEE International Geoscience and Remote Sensing Symposium, 2004
    Co-Authors: Tong Xiaohua, Xu Gusheng
    Abstract:

    The generalization of line features is an important process in both traditional cartography and in many applications of geographic information systems. In this paper, the parcel boundary line generalization is further studied. The uncertainties in Douglas-Peucker based line generalization algorithm is first analyzed, a line-fitting based line generalization algorithm is then proposed. In the new line generalization method, kinds of Conditional Equations in map generalization are therefore derived, including the length Conditional Equation, area Conditional Equation, and end-vertexes identical Equation. Based on the theoretical discussion, a parcel boundary line generalization system is developed. The case studies are carried out to test the methods. The results show that the proposed uncertainty-processing model is feasible to ensure the data quality in map generalization

Tong Xiaohua - One of the best experts on this subject based on the ideXlab platform.

  • IGARSS - A new least squares method based line generalization in GIS
    IEEE International IEEE International IEEE International Geoscience and Remote Sensing Symposium 2004. IGARSS '04. Proceedings. 2004, 2004
    Co-Authors: Tong Xiaohua, Xu Gusheng
    Abstract:

    The generalization of line features is an important process in both traditional cartography and in many applications of geographic information systems. In this paper, the parcel boundary line generalization is further studied. The uncertainties in Douglas-Peucker based line generalization algorithm is first analyzed, a line-fitting based line generalization algorithm is then proposed. In the new line generalization method, kinds of Conditional Equations in map generalization are therefore derived, including the length Conditional Equation, area Conditional Equation, and end-vertexes identical Equation. Based on the theoretical discussion, a parcel boundary line generalization system is developed. The case studies are carried out to test the methods. The results show that the proposed uncertainty-processing model is feasible to ensure the data quality in map generalization

  • A new least squares method based line generalization in GIS
    IGARSS 2004. 2004 IEEE International Geoscience and Remote Sensing Symposium, 2004
    Co-Authors: Tong Xiaohua, Xu Gusheng
    Abstract:

    The generalization of line features is an important process in both traditional cartography and in many applications of geographic information systems. In this paper, the parcel boundary line generalization is further studied. The uncertainties in Douglas-Peucker based line generalization algorithm is first analyzed, a line-fitting based line generalization algorithm is then proposed. In the new line generalization method, kinds of Conditional Equations in map generalization are therefore derived, including the length Conditional Equation, area Conditional Equation, and end-vertexes identical Equation. Based on the theoretical discussion, a parcel boundary line generalization system is developed. The case studies are carried out to test the methods. The results show that the proposed uncertainty-processing model is feasible to ensure the data quality in map generalization

Felix Cornelius - One of the best experts on this subject based on the ideXlab platform.

Janusz Brzdek - One of the best experts on this subject based on the ideXlab platform.

  • on a Conditional golab schinzel Equation
    Archiv der Mathematik, 2005
    Co-Authors: Janusz Brzdek, Anna Murenko
    Abstract:

    Let \(\mathbb{R}_ + : = (0,\infty ).\) We show that for every function \(f:\mathbb{R}_ + \to \mathbb{R}\) satisfying the Conditional Equation $$ {\text{if }}x + f(x)y > 0,{\text{ then }}f(x + f(x)y) = f(x)f(y) $$ either there exists a solution \(g:\mathbb{R} \to \mathbb{R}\) of the Golab-Schinzel Equation $$ g(x + g(x)y) = g(x)g(y) $$ such that \(f = g|_{\mathbb{R}_ + } \) (i.e., f(x) = g(x) for \(x \in \mathbb{R}_ + \)) or there is x0 > 0 with f(x0) < −1 and f(x) = 0 for x ≠ x0 . In particular we determine the solutions \(f:\mathbb{R}_ + \to \mathbb{R}\) of the Conditional Equation that are continuous at a point, Lebesgue measurable or Baire measurable (i.e., have the Baire property). In this way we solve some problems raised by the first author.

  • On a Conditional Gołab-Schinzel Equation
    Archiv der Mathematik, 2005
    Co-Authors: Janusz Brzdek, Anna Mureńko
    Abstract:

    Let $$\mathbb{R}_ + : = (0,\infty ).$$ We show that for every function $$f:\mathbb{R}_ + \to \mathbb{R}$$ satisfying the Conditional Equation $$ {\text{if }}x + f(x)y > 0,{\text{ then }}f(x + f(x)y) = f(x)f(y) $$ either there exists a solution $$g:\mathbb{R} \to \mathbb{R}$$ of the Gołab-Schinzel Equation $$ g(x + g(x)y) = g(x)g(y) $$ such that $$f = g|_{\mathbb{R}_ + } $$ (i.e., f ( x ) =  g ( x ) for $$x \in \mathbb{R}_ + $$ ) or there is x _0 > 0 with f ( x _0) 

Janusz Brzdȩk - One of the best experts on this subject based on the ideXlab platform.

  • On functional which are orthogonally additive modulo Z
    Results in Mathematics, 1996
    Co-Authors: Janusz Brzdȩk
    Abstract:

    Let E be a real inner product space with dimension at least 2, D ⊂ E, f: E → R with f(x+y)−f(x)−f(y) ∈ Z for all orthogonal x,y ∈ E, and f(D) ⊂ (−γ,γ)+Z witn some real γ > 0. We prove that, under some additional assumptions, there are a unique linear functional A: E → R and a unique constant d ∈ R with f(x)−d∥x∥^2−A(x) ∈ Z for x ∈ E. We also show some applications of this result to the determination of solutions F: E → C of the Conditional Equation: F(x+y) = F(x)F(y) for all orthogonal x,y ∈ E.