Integral Equation-Wavelet Collocation Method for Geometric Transformation and Application to Image Processing
المؤلفون المشاركون
Yang, Lina
Sun, Lu
Tang, Yuan Yan
Feng, Xiang-Chu
المصدر
العدد
المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-17، 17ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2014-04-01
دولة النشر
مصر
عدد الصفحات
17
التخصصات الرئيسية
الملخص EN
Geometric (or shape) distortion may occur in the data acquisition phase in information systems, and it can be characterized by geometric transformation model.
Once the distortedimage is approximated by a certain geometric transformation model, we can apply its inversetransformation to remove the distortion for the geometric restoration.
Consequently, findinga mathematical form to approximate the distorted image plays a key role in the restoration.
A harmonic transformation cannot be described by anyfixed functions in mathematics.
In fact, it is represented by partial differential equation (PDE)with boundary conditions.
Therefore, to develop an efficient method to solve such a PDE isextremely significant in the geometric restoration.
In this paper, a novel wavelet-based methodis presented, which consists of three phases.
In phase 1, the partial differential equation isconverted into boundary integral equation and representation by an indirect method.
In phase2, the boundary integral equation and representation are changed to plane integral equationand representation by boundary measure formula.
In phase 3, the plane integral equation andrepresentation are then solved by a method we call wavelet collocation.
The performance of our method is evaluated by numerical experiments.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Yang, Lina& Tang, Yuan Yan& Feng, Xiang-Chu& Sun, Lu. 2014. Integral Equation-Wavelet Collocation Method for Geometric Transformation and Application to Image Processing. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1034014
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Yang, Lina…[et al.]. Integral Equation-Wavelet Collocation Method for Geometric Transformation and Application to Image Processing. Abstract and Applied Analysis No. 2014 (2014), pp.1-17.
https://search.emarefa.net/detail/BIM-1034014
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Yang, Lina& Tang, Yuan Yan& Feng, Xiang-Chu& Sun, Lu. Integral Equation-Wavelet Collocation Method for Geometric Transformation and Application to Image Processing. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-17.
https://search.emarefa.net/detail/BIM-1034014
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1034014
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر