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Propose a formula for the relation between improving measurement accuracy and reliability in geodetic network

اقتراح صيغة للعلاقة بين تحسين دقة القياس و الموثوقية في الشبكة الجيوديزية

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 Publication date 2015
and research's language is العربية
 Created by Shamra Editor




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Research offers expanded version of the relationship to improve measurement accuracy (provided by Otrenbski), which include correlated or free geodetic networks, with correlated or incorrelated observations, which are processed according to the Least Square theory. In addition to enhancing the Global accuracy, Research gives additional formula takes into consideration the enhancement of each observation (local precision). the validity of the proposed formula was proved depending on the Idempotent matrix. In addition to the general concept of the reliability of geodetic network (described in literature), Research gives the formula of the relationship between improvement of measurement accuracy and one of internal reliability features (provided by Pelzer), and used in the evaluation of geodetic measurements. Research find and gives the basic mathematical indicators of the interaction of processing model with the occurrence of errors in geodetic measurements.


Artificial intelligence review:
Research summary
يتناول البحث الذي قدمه الدكتور إياد فحصة صيغة موسعة لعلاقة تحسين دقة القياس في الشبكات الجيوديزية، سواء كانت مرتبطة أو حرة، مع قياسات مرتبطة أو غير مرتبطة، والتي يتم معالجتها وفق نظرية التربيعات الصغرى. بالإضافة إلى تحسين الدقة العامة، يقدم البحث صيغة إضافية تأخذ في الاعتبار تحسين الدقة المحلي لكل قياس. تم البرهان على صحة الصيغة المقترحة بالاعتماد على المصفوفة الجامدة. كما يقدم البحث صيغة للعلاقة بين تحسين دقة القياس وواحدة من ميزات الموثوقية الداخلية المستخدمة في تقييم القياسات الجيوديزية. يهدف البحث إلى دراسة مفهوم موثوقية الشبكة الجيوديزية واستعراض العلاقة بين تحسين دقة القياسات الجيوديزية وميزاتها الداخلية، وكيفية تفاعل نموذج المعالجة الرياضية للشبكة مع حدوث التشويش في القياسات. تم اختبار النتائج على شبكة اختبارية للتحقق من فعالية المؤشرات الحدية المقترحة. توصل البحث إلى استنتاجات مهمة في الكشف عن القياسات المغلوطة وتحديد بعض المؤشرات العددية المميزة لتفاعل النموذج مع حدوث الأخطاء غير المسموحة في القياسات.
Critical review
دراسة نقدية: يُعتبر البحث الذي قدمه الدكتور إياد فحصة إضافة قيمة إلى مجال الجيوديزيا، حيث يقدم صيغة موسعة لعلاقة تحسين دقة القياس والموثوقية في الشبكات الجيوديزية. ومع ذلك، يمكن ملاحظة بعض النقاط التي قد تحتاج إلى مزيد من التوضيح أو التحسين. أولاً، قد يكون من المفيد تقديم أمثلة تطبيقية أكثر توضيحاً لتبسيط الفهم للقارئ غير المتخصص. ثانياً، يمكن توسيع نطاق الدراسة لتشمل مزيداً من الحالات العملية والشبكات الجيوديزية المختلفة للتحقق من عمومية النتائج. أخيراً، قد يكون من المفيد تقديم توصيات أكثر وضوحاً حول كيفية تطبيق النتائج في الممارسات الجيوديزية اليومية.
Questions related to the research
  1. ما هي الصيغة الموسعة التي يقدمها البحث لعلاقة تحسين دقة القياس؟

    الصيغة الموسعة تشمل الشبكات الجيوديزية المرتبطة أو الحرة، مع قياسات مرتبطة أو غير مرتبطة، والتي يتم معالجتها وفق نظرية التربيعات الصغرى. بالإضافة إلى تحسين الدقة العامة، تأخذ الصيغة في الاعتبار تحسين الدقة المحلي لكل قياس.

  2. كيف تم البرهان على صحة الصيغة المقترحة في البحث؟

    تم البرهان على صحة الصيغة المقترحة بالاعتماد على المصفوفة الجامدة (Idempotent Matrix).

  3. ما هي أهمية البحث وأهدافه؟

    تكمن أهمية البحث في دراسة مفهوم موثوقية الشبكة الجيوديزية واستعراض العلاقة بين تحسين دقة القياسات الجيوديزية وميزاتها الداخلية، وكيفية تفاعل نموذج المعالجة الرياضية للشبكة مع حدوث التشويش في القياسات.

  4. ما هي التوصيات التي توصل إليها البحث؟

    يوصي البحث باستخدام مؤشرات تفاعل نموذج المعالجة في تصميم الشبكات الجيوديزية، ويقترح أن يشكل النموذج الكينماتيكي للشبكة الجيوديزية نموذجاً لذلك. كما يوصي بمتابعة الاختبارات في هذا المجال وتحسين ما تم عرضه في البحث.


References used
Baarda (1968): A testing procedure for use in Geodetic networks, Netherland Geodetic Commision Delft
Schaffrin B.(1997):Reliability measures for correlated observations – J.Engineering Surveying
Ghilani C. D. and P. R. Wolf: Adjustment Computations: Spatial Data Analysis, Fourth Edition © 2006 John Wiley & Sons, Inc. ISBN: 978-0-471-69728-2 37
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