Monte Carlo methods are non-parametric algorithms that use random numbers and theorems of probability theory to approximate values that are not random. The purpose of my research was to approximate the surface of different geographical areas that can be easily approximated to polygons (e.g. lakes, glaciers, deserts) with Monte Carlo simulations starting from either Cartesian coordinates or pictures. Computer science would not exist without math, and this research project showed me the importance of a deep understanding of probability theory in the world of simulations and, more generally, the importance of developing new theorems and algorithms. The results of my research could be developed in different ways: it would be interesting to produce software that allows one to approximate areas from pictures taken from a smartphone; as well, the theorem I found has to be proven, and also Monte Carlo methods as a means of random number generation can always be improved. There are still many possibilities.

我們在討論天體運動時，當只有個天體，就行等速度運動；兩個大體時，軌道呈圓錐曲線；但是三個天體的運動分析並不能算出解析解，而只能以數值分析來算出近似值(早期對於太陽系──簡化的三體運動問題──使用攝動理論（先考慮恆星重力，再加入行星的影響）做短期模擬（因為長期的攝動共振可以使運動軌跡完全改觀） )。 一般而言，想要進行預測星體軌道，人們只要解開相關的微分方程式就可以了。雖然如此，經由牛頓的計算，證實了想解出只有三個物體的微分方程式都是極度困難的。它的運動定律指出三體運動的模式沒有解析解 。要預側三體運動，唯一的方法就是利用攝動的理論計算近似值。但是現在藉由電腦的的輔助，我們可以用數值分析的方法去做三體運動的模擬。只要計算夠精確、模擬時間不要太長，都可以得到令人滿意的結果。既然有了良好的土具，就可以探究一些三體運動的問題了。

Autonomous car is a very new concept, being a car without any driver. Several concurrent software process data using Artificial Intelligence to recognize and propose a path which the car should follow. The goal of the project is that a driverless car can reduce the distance between the cars, lowering the degree of road loadings, reducing the number of traffic jams, avoid human errors, and allowing people with disabilities(even blind people) to travel using an autonomous car. Theoretically a car without driver in the future should be much safer, because human reaction speed is higher than 200 ms, and the computing power of the newest computers allows traffic calculations even to 10 ms. The necessary power is provided by three multi-core laptops that process with Artificial Intelligence in order to recognize traffic signs, traffic lanes , traffic car fingerprints, processing the data from a 3D radar, using particle filters to localize car in a GPS map, the management of database with traffic signs, magnetic sensors, acceleration sensors, a distributed software, a supervisory system and the software which drives the stepper motor to turn the steering wheel (acceleration and braking). Currently the software is able to recognize the traffic signs, register them in a database using Google Maps. The fields record the sign and direction of travel from that area. Each car participating in the traffic and using this software will register new signs detected and the will modify the degree of confidence of recognition for other users. Another software component is able to recognize the demarcation lines between lanes, with three cameras to calculate exactly or using probabilities where it is on the road, where the roadsides are and to propose a new direction even in the absence of traffic signs for the next seconds. Another part of the software is trying to use Artificial Intelligence to detect other car fingerprints from webcam images. The calculation was performed on 3 computers, requiring distributed processing. I developed a management information system based on semaphores that allows data processing and supervision from 3 different computers. This project presents a hardware version of a LIDAR – a 3D radar and a software for creating a 3D environment in which the car navigates and using it the car will take decision to avoid obstacles. The LIRDAR contains a total of 16 avalanche photo-detector mounted on a stepper motor that spins at a frequency of 10 Hz. The information provided by my radar is about 576.000 pixels at resolution of 10 bits. The 3D radar helps the entire software system to increase the confidence of decision.

本年度應用科學參展作品共有初小組十四件，高小組十六件，國中組十三件及高中組二十件合計六十三件，泛太洋區外國作品六件，總計六十九件。經十位評審委員評選出前三名共計十三名，佳作十三名，總計二十六名，得獎率百分之四十三。 本屆作品之特色國小是啟智方向的主題，觀察日常生活的主題有關節省能源，環境保護、公共安全等方向，利用娛樂遊戲方式去尋找科學探索。國中則以資訊、光電、電腦及生物科學為探討主題，十分具創意。高中則運用電腦、網路及生物科技為研究主題之題材，研究成果完整，是十分優良的科技研究作品。在高職作品其研究方法已有明顯的改善，但部份仍是工藝或發明專利之作品，欠缺方法學，有改進之需要。作品之安全規則的遵守及研究者安全的考慮，另外（愛護）善待動物也是一定要牢記的事，否則受到安全委員之警告或禁止展出總是不好的事。 總而言之，初小組件數略少，高小適當，國中尚有拓展空間，高中組爆滿，但全體之品質提升很多，是一件不爭的事實。

研究圍棋競賽瑞士制賽程編排準則與其邏輯，將賽程編排準則電腦化。應用Excel程式函數語言建制賽程表與實際比賽賽程表做比較，結果與實際比賽賽程表相符。

「電來電去有玄機，神奇插座夠威力」是為了提升大眾的用電安全，避免災害發生的專題研究。現今的家庭用電，常發生用電過載及電線短路的意外，因此，我們選擇從電的仲介─插座著手，來解決問題。經過小組的討論、搜尋資料及反覆實驗後，我們將插座供電做了突破性的改良，加入我們設計的創意功能。首先想到「過載」或「短路」插座會自動切斷電源，並啟動電腦通報系統，發出警報！除此之外，為讓使用者用電更加安全且更有保障，還延伸其它功能：ㄧ、手摸銅線不觸電二、插座泡水不漏電三、電線短路不供電四、需要用電就來電五、電腦監控更方便希望「電來電去有玄機，神奇插座夠威力」的專題研究，能夠在生活應用上有所幫助，對你我的生命財產有所保障。

在數位化的今日，由於網際網路的技術蓬勃發展，網際網路變得更容易使用及具高度的親和性，使得網際網路的使用逐年成長。隨著越來越多人依賴網路進行交易，也衍生了層出不窮的網路詐騙問題。其中，網路釣魚就是一項著名的詐騙技術：詐騙者透過偽裝成知名企業的網站，藉此騙取使用者的個人私密資料。在本研究中，我們提出了一套植基於彩色視覺密碼學原理的網站驗證機制，使用者可以透過此機制，直接利用人類視覺的方式來驗證所連上的網站是否有問題，並在此機制之下，設計出另一套管理使用者密碼的方式，進而方便使用者不必費心的去記憶密碼。 Recently, as networks technology flourishes, Internet becomes easier and friendlier to use, and makes the usage of Internet grow up year after year. With more and more people relying on online transactions, it leads to endless network fraud issues. Among them, phishing is a well-known fraud technology to disguise the famous business website to get user’s private information by cheating. Therefore, in this study, an effective scheme based on color visual cryptography is proposed to test and verify the website. Through the proposed mechanism, users can check whether there is a problem website by using human vision directly. Furthermore, the proposed scheme also provides another way to manage user’s password effectively.

新聞經常報導土木建築發生漏水、海砂屋或裂縫等災害。臺灣位於地震頻仍區域，建築結構需要加強檢測，才能住的更安心。此外海洋季風的氣候常有豪雨，最近釀成三號國道崩塌意外，土木結構需要全面性的安全檢測。然而現有檢測方式以破壞性為主，需耗費許多時間與金錢。因此我們研發以非破壞性方式，樽節成本並能快速分析土木結構的系統，能維護民眾的安全。本研究系統包含以下兩大項： 一、 機械波產生裝置 利用電磁效應產生磁力，並以訊號產生器調整電場的頻率，規律地敲擊待測物，產生相同的聲波。 二、 聲音檢測裝置 將撞擊物體的反射波輸入頻譜分析儀分析波形，以電腦程式將聲波轉變成頻譜，進行分析比較。

在日常生活中處處可見幾何多面體在我們四周，像是 1996 年得到諾貝爾化學獎肯定，英、美三位教授首次發現的巴克球（C60 Buckyball），是由六十個碳原子組成的球狀分子，經施加壓力後硬度提昇至較鑽石硬，其結構便是切角正二十面體。由上可知，在現代醫療、科學、環保環環相扣的趨勢下，我們可以把常見的幾何多面體，經過詳細的生產流程設計後，量產成為供觀賞的藝術品。為達到量產的目的，我們使用繪圖軟體將多面體形狀模擬後，進行分解，並討論面與面的夾角。在生產時會有夾持不易的問題，所以需思考利用其結構特性設計模具。當中需要配合到工程數學、投影幾何學、機械製造，設計最有效率的生產模具，以便在生產時快速夾持，避免產生角度錯誤或是偏差。

「於其所愛者薄，無所不薄」，身為高雄市民的一分子對吾土吾民付子積極關懷，該是責無旁貸的義務，更是知識青年所引以為傲的。基於以上的認識，我們乃嘗試以有限的知識，利用兩年的課餘時間，採用電腦分析方法，來研究「高市之癌一仁愛河」的污染情形，並提出整體性釣防治對策，希望本研究能作為市政當局的參考，並喚醒更多人對大自然的關愛與奉獻。

本研究嘗試以自行設計的電腦程式，探討分析眼睛感光細胞的特色。由本研究所設計的圖樣，可以簡易地測量自己是否色盲，還可以比對家中螢幕是否有色差，試著建立模擬色盲患者看見的影像，並撰寫程式應用於盲人導航。

快門，捕捉最原始的感動；科技，創造最完美的呈現。當攝影遇上科學，成就了本研究的主題──高階電腦數位影像之研發。在我的研究過程中困難重重，從外景攝影、後製研究、影像創作到本研究撰寫完工，一切由我個人獨力進行，經歷了多次失敗，仍堅持的完成這重大的研究突破。 相信多數人會使用相機，但是對數位攝影這領域卻不甚了解，更別談藝術與科學的結合。因此希望本科展研究將會成為未來科技數位電腦的主軸，強調科技、即時、便利、環保、生活及教育的科學推廣，以實用並超越新世紀的數位領域，讓所有電腦愛好者，都可以輕鬆的應用此高階的數位暗房後製。讓電腦科技不只是零與一的組合，而是心靈與世界的互動！ ;Camera shutter captures the most original affection; technology creates the most perfect display. High-level digital image—when photography meets technology—is the theme of this research. However, in the process of the research, I have encountered many problems—from outdoor scene shot, production research, image creation to report writing—I did them individually and had undergone many failures, but I still insisted on finishing this big research breakthrough. I believe that many people can use the camera, but didn’t understand anything about the field of digital photography, let alone the combination of art and technology. I hope this technology development research would become the main perch of digital technology in the future—emphasizing technology ,instantaneous,convenience,environmentalprotection, livelihood, and popularize technology education—to use and go beyond the new age of digital field and to make computer lovers apply high-level darkroom production easily. Making computer technology not just combinations of zeros and ones, but the interaction between life and the world.